N-CN. Complex Numbers

    N-CN.B. Represent complex numbers and their operations on the complex plane.

      N-CN.B.4. Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

      • No tasks yet illustrate this standard.

      N-CN.B.5. Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation. For example, $(-1 + \sqrt{3} i)^3 = 8$ because $(-1 + \sqrt3 i)$ has modulus $2$ and argument $120^\circ$.

      N-CN.B.6. Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

    N-CN.C. Use complex numbers in polynomial identities and equations.

      N-CN.C.7. Solve quadratic equations with real coefficients that have complex solutions.

      N-CN.C.9. Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.

      • No tasks yet illustrate this standard.